a pool is the shape of a rectangle has a perimeter of 80 feet. The pool is 8 feet less wide than it is long. Find the length and width of the pool.

Length = 24 feet

Width = 16 feet

Step-by-step explanation:

Equation 1) Perimeter = 2L+2W

Equation 2) Perimeter = 80

Equation 3) L-8=W

1) Substitute L-8 as W in the first equation, and 80 as the Perimeter:

2L+2 (L-8) = 80

2) Distribute 2 to L and - 8:

2L+2L-16=80

3) Add 16 to both sides, and combine alike terms:

4L=96

4) Divide both sides by 4:

L=24

5) Substitute 24 as L in the third equation:

24-8=W

6) Solve:

W=16